TECHNICAL FIELD
[0001] The present invention relates to a system for calculating a digital quality index
(DQI), which is a measure of the impairments in a received quadrature amplitude modulated
(QAM) digital signal in a CATV cable system, and in particular to a DQI system used
to detect impairments and quantify the results over a predetermined range.
BACKGROUND OF THE INVENTION
[0002] Digitally modulated signals are used to transport high-speed data, video and voice
on cable networks. The high-speed signals are subject to a variety of impairments
that can seriously impact the quality and reliability of the services being provided.
Unfortunately, measuring the signal level or looking at the display on a conventional
spectrum analyzer isn't enough to fully troubleshoot problems or characterize the
health of a digitally modulated signal.
[0003] Delivery of data services over cable television systems is typically compliant with
a data-over-cable-service-interface-specifications (DOCSIS) standard. The content
of the digital signal is typically modulated using quadrature amplitude modulation
(QAM). Current cable QAM standards use conventional forward error correction (FEC)
and interleaving techniques to transmit the data downstream. FEC is a system of error
control for data transmission in which the receiving device detects and corrects fewer
than a predetermined number or fraction of bits or symbols corrupted by transmission
errors. FEC is accomplished by adding redundancy to the transmitted information using
a predetermined algorithm. However, impairments that exceed the correction capability
or the burst protection capacity of the interleaving will not be corrected, and the
digital data will be corrupted. Accordingly, technicians need to be able to detect
impairments above and below the threshold at which digital signals are corrupted to
be able to detect current and potential problems.
[0004] As with all modulation schemes, QAM conveys data by changing some aspect of a carrier
signal, or the carrier wave, which is usually a sinusoid, in response to a data signal.
In the case of QAM, the amplitude of two waves, 90° out-of-phase with each other,
i.e.in quadrature, are changed, e.g. modulated or keyed, to represent the data signal.
[0005] When transmitting two signals by modulating them with QAM, the transmitted signal
will be of the form:
[0006] 
[0007] where
I(
t) and
Q(
t) are the modulating signals and
f0 is the carrier frequency.
[0008] At the receiver, the two modulating signals can be demodulated using a coherent demodulator,
which multiplies the received signal separately with both a cosine and sine signal
to produce the received estimates of
I(
t) and
Q(
t)
, respectively. Due to the orthogonality property of the carrier signals, it is possible
to detect the modulating signals independently.
[0009] In the ideal case
I(
t) is demodulated by multiplying the transmitted signal with a cosine signal:
[0010] 
[0011] Using standard trigonometric identities:
[0012] 
[0013] Low-pass filtering
ri(
t) removes the high frequency terms, i.e. containing (4π
f0t)), leaving only the
I(
t) term, unaffected by
Q(
t). Similarly, we may multiply
s(
t) by a sine wave and then low-pass filter to extract
Q(
t).
[0014] A constellation diagram is a representation of a signal modulated by a digital modulation
scheme, such as quadrature amplitude modulation or phase-shift keying. The constellation
diagram displays the signal as a two-dimensional scatter diagram in the complex plane
at symbol sampling instants, i.e. the constellation diagram represents the possible
symbols that may be selected by a given modulation scheme as points in the complex
plane. Measured constellation diagrams can be used to recognize the type of interference
and distortion in a signal.
[0015] By representing a transmitted symbol as a complex number and modulating a cosine
and sine carrier signal with the real and imaginary parts, respectively, the symbol
can be sent with two carriers, referred to as quadrature carriers, on the same frequency.
A coherent detector is able to independently demodulate the two carriers. The principle
of using two independently modulated carriers is the foundation of quadrature modulation.
[0016] As the symbols are represented as complex numbers, they can be visualized as points
on the complex plane. The real and imaginary axes are often called the
in phase, or I-axis and the
quadrature, or Q-axis. Plotting several symbols in a scatter diagram produces the constellation
diagram. The points on a constellation diagram are called
constellation points, which are a set of
modulation symbols that comprise the
modulation alphabet.
[0017] In QAM, the constellation points are usually arranged in a square grid with equal
vertical and horizontal spacing, although other configurations are possible. The most
common forms are 16-QAM, 64-QAM, 128-QAM and 256-QAM. By moving to a higher-order
constellation, it is possible to transmit more bits per symbol; however, if the mean
energy of the constellation remains the same, in order to make a fair comparison,
the points must be closer together and are thus more susceptible to noise and other
corruption, i.e. a higher bit error rate. Accordingly, a higher-order QAM will deliver
more data less reliably than a lower-order QAM. 64-QAM and 256-QAM are often used
in digital cable television and cable modem applications. In the United States, 64-QAM
and 256-QAM are the mandated modulation schemes for digital cable as standardised
by the SCTE in the standard ANSI/SCTE 07 2000.
[0018] A typical QAM analyzer design includes a user interface, e.g. a keypad and a display,
and possibly an Ethernet or other external connection for connection to a personal
computer. A tuner is used to select a digitally modulated signal of interest, and
a QAM demodulator provides several elements indicative of the received signal, such
as carrier frequency acquisition, carrier phase tracking, symbol rate tracking, adaptive
equalizer, and J.83 channel decoding. By probing into the elements of the QAM demodulator
one can retrieve information on MER, pre- and post-FEC BER, and channel response,
which is part of physical layer testing.
[0019] To troubleshoot a subscriber's premises with a signal problem, a technician will
travel to the premises or a hub nearby, and conduct a variety of tests on the digitally
modulated signal, e.g. RF level, MER, pre- and post-FEC BER, and an evaluation of
the constellation for impairments. In addition, the technician may look at the equalizer
graph for evidence of micro-reflections, and check in-channel frequency response and
group delay. Moreover, if the QAM analyzer is able, the measurements are repeated
in the upstream direction. Unfortunately, all of the test results require a certain
degree of experience, knowledge and skill to interpret, potentially resulting in differing
explanations for the problem depending on the technician. BER measurements require
that the test instrument have the capability to fully decode the digital signal, and
require long sampling time to detect low bit error rates. Furthermore, post-FEC BER
shows only the impairments the exceed the correction capability of the FEC and interleaving
[0020] United States Patent Applications Nos. 2005/0144648 published June 30, 2005 in the
name of Gotwals et al;
2005/0281200 published December 22, 2005 to Terreault;
2005/0286436 published December 29, 2005 to Flask; and
2005/0286486 published December 29, 2005 to Miller disclose conventional cable signal testing devices.
United States Patents Nos. 6,611,795 issued August 26, 2003 to Cooper, and
7,032,159 issued April 18, 2006 to Lusky et al, and
United States Patent Application No. 2003/0179821 published September 25, 2003 to
Lusky et al relate to error correcting methods. PCT Patent Publication No.
WO 2006/085275 published August 17, 2006 to Moulsley et al relates to estimating the BER based on the sampled amplitude of the signal.
[0021] An object of the present invention is to overcome the shortcomings of the prior art
by providing a fast and sensitive measurement of impairments on a QAM digital channel
without requiring full decode capability of the QAM signal, and without requiring
a vast amount of expertise.
SUMMARY OF THE INVENTION
[0022] Accordingly, the present invention relates to a method of determining an indication
of the quality on a QAM digital signal on a cable network with forward error correction
comprising the steps of:
[0023] a) determining a first bit error rate (BER) of the digital signal prior to forward
error correction (FEC);
[0024] b) determining a second bit error rate after forward error correction (FEC);
[0025] c) determining a digital quality index (DQI) on a predetermined scale based on the
first and second bit error rates; and
[0026] d) displaying the DQI to provide an indication of the quality of the QAM digital
signal on the cable network.
[0027] Another embodiment of the present invention relates to a testing device for generating
an indication of the quality on a QAM digital signal on a cable network with forward
error correction (FEC) comprising:
[0028] an input port for receiving the QAM digital signal;
[0029] first bit error rate (BER) generating means for determining the BER of the QAM digital
signal prior to FEC;
[0030] second first bit error rate (BER) generating means for determining the BER of the
QAM digital signal after FEC;
[0031] digital quality index generating means for determining a digital quality index (DQI)
of the QAM digital signal on a predetermined scale based on the first and second BER;
and
[0032] a display for displaying the DQI to provide an indication of the quality of the QAM
digital signal on the cable network.
[0033] Another embodiment of the present invention relates to a method of determining a
bit error rate of a QAM digital signal on a cable network with forward error correction
(FEC) comprising the steps of:
[0034] a) determining an error voltage V
ERR of the digital signal once every 10 to 50 microseconds;
[0035] b) determining a first bit error rate prior to FEC based on a predetermined statistical
relationship between the V
ERR and the first BER once every 10 to 50 microseconds; and
[0036] c) averaging the first BER every 0.5 to 2 seconds.
BRIEF DESCRIPTION OF THE DRAWINGS
[0037] The invention will be described in greater detail with reference to the accompanying
drawings which represent preferred embodiments thereof, wherein:
[0038] Figure 1 is a schematic representation of the testing device of the present invention;
[0039] Figure 2 is a schematic representation of the subsystems of the testing device of
the present invention;
[0040] Figure 3 is a schematic representation of a statistical model for approximating bit
error rate prior to and after forward error correcting;
[0041] Figure 4 is a plot of BER prior to FEC vs Error Voltage (V
ERR) for the statistical model of Fig. 3;
[0042] Figure 5 is a plot of BER prior to FEC vs BER after FEC for the statistical model
of Fig. 3;
[0043] Figure 6 is a schematic representation of an alternate embodiment of a statistical
model for approximating bit error rate prior to and after forward error correcting;
[0044] Figure 7 is a schematic representation of a I-Q corner analyzer of the statistical
model of Fig. 6;
[0045] Figure 8 are constellation diagrams for 64, 128 and 256 QAM signals illustrating
the corner and middle squares;
[0046] Figure 9a is a flow chart for determining the DQI in accordance with BER prior to
and after FEC;
[0047] Figure 9b is an alternative flow chart for determining the DQI in accordance with
BER prior to and after FEC;
[0048] Figure 10 is an alternative flow chart for determining the DQI in accordance with
BER prior to and after FEC;
[0049] Figure 11 is a chart representative of the DQI in relation to BER prior to and after
the FEC; and
[0050] Figure 12 is an alternative flow chart for determining an enhanced DQI in accordance
with level measurements and adaptive equalizer tap values.
DETAILED DESCRIPTION
[0051] With reference to Figure 1, the DQI testing device 1 of the present invention includes
four subsystems: a receiver and measurement subsystem 2 for receiving a quadrature
amplitude modulated (QAM) signal and for determining bit error rates prior to and
after forward error correction, a scoring subsystem 3 for generating a digital quality
index (DQI) number on a predetermined scale, e.g. 0 to 10, based on the aforementioned
bit error rates, an analysis subsystem 4 for analyzing the determined information,
and a display subsystem 5 for relating the DQI number and any addition information
to the technician utilizing the testing device 1.
[0052] With reference to Figure 2, the receiver and measurement subsystem 2 includes an
input port 10 for receiving the QAM digital signal from a cable network, a tuner 11
for selecting a desired cable channel to test, and a QAM demodulator 12 for demodulating
the QAM signal into I and Q signals. In a full service testing device, the I and Q
signals are transmitted to a constellation sampler 13 and a symbol decoder 14, which
decodes the digital signal into a decoded signal. The constellation sampler 13 generates
a constellation diagram 15. The symbol decoder 14 determines the modulation error
ratio (MER) for display at readout 16, and transmits the decoded signal to a forward
error correction (FEC) decoder 17. The FEC decoder 17 performs error correction on
the decoded signal, and determines a bit error rate (BER) before and after the error
correction for display at readouts 18 and 19, respectively.
[0053] The QAM demodulator 12 also provides a QAM decode error voltage (V
ERR), which can be used to compute the Modulation Error Rate (MER), an estimate of the
signal to noise ratio (SNR) of the digital signal, to a bit error rate (BER) calculator
21 to convert the V
ERR to a bit error rate (BER). The V
ERR value from the QAM demodulator 12 is multiplied by different scale factors depending
on the QAM modulation of the signal, for example:
Scale Factors |
Annex A |
Annex B |
64 QAM |
0.67 |
0.50 |
128 QAM |
1.34 |
N/A |
256 QAM |
1.32 |
1.00 |
[0054] 
[0055] 
[0056] The reference voltage V
REF is the RMS voltage of an ideal signal.
[0057] MER is commonly used in digital communications as an approximation of SNR or as a
substitute for it. A true SNR measurement is difficult to perform on a digital signal.
Accordingly, the term SNR analyzer is used for the subsystem that uses the filtered
error voltages to get pre- and post-FEC BER estimates.
[0058] The scoring subsystem 3 can use the pre-FEC BER and the post-FEC BER determined from
the FEC decoder 17, as shown by the which will necessitate that the digital signal
be fully decoded, and a great deal of time to measure low BERs. Alternatively, the
constellation sampler 13, the symbol decoder 14, the constellation diagram 15, the
MER readout 16, and the FEC decoder 17 can be eliminated, and the BER calculator 21
can be used to estimate the pre-FEC BER and the post-FEC BER. The BER calculator 21
includes an SNR analyzer 30, illustrated in Figure 3 or, in a preferred embodiment,
a combination of the SNR analyzer 30 with an I-Q corner analyzer 41, as in Figure
6. All of the aforementioned systems are under the control of a microcomputer 25 with
a keyboard or graphical interface 26.
[0059] The SNR analyzer 30 receives filtered V
ERR samples, e.g. from a fast filter 31, which is sampled once every 10 to 50 microseconds,
and a pre-FEC BER prior to the forward error correction (FEC) is calculated at 32
in accordance with a predetermined statistical relationship between V
ERR and pre-FEC BER. The average pre-FEC BER is determined at 33, and forwarded to the
scoring subsystem 3 or combined with the pre-FEC BER provided by the I-Q corner analyzer
41, as hereinafter described. In order for the present invention to see narrow ingress
pulses, the estimated V
ERR must be sampled at a higher rate than would normally be used to measure MER. Hardware
filtering, i.e. fast filter 31, is needed if the sample rate is lower than the QAM
symbol rate, but the time constant of the filter 31 must be appropriate for the fast
sample rate required.
[0060] Simulations and mathematical modeling were conducted to determine a mathematical
relationship between SNR (or V
ERR) to pre-FEC BER. An exponential function provides a good approximation of the relationship
between the V
ERR and the pre-FEC BER; however, fails when high V
ERR values cause the pre-FEC BER to go over 1, as seen in Figure 4. Accordingly, in a
first embodiment the pre-FEC estimated BER
f is computed from the scaled V
ERR value
x using a modified exponential equation:
[0061] 
[0062] with a>0, b>0 and 0<c<1, and preferably wherein
a = 1.42857 × 10
12,
b = 2.65 × 10
-4, and
c = 0.2, which is graphically illustrated in Figure 4. The values of the constants
a, b, and c are selected based on the specific QAM decoder hardware by analyzing data
sampled with know signal impairments.
[0063] Subsequently, the post-FEC estimated BER
g is calculated at 34 in accordance with a predetermined statistical relationship between
pre-FEC BER and post-FEC BER. Additional simulations and mathematical modeling were
conducted to determine a mathematical relationship between pre-FEC BER and post-FEC
BER. In a preferred embodiment, the post-FEC estimated BER
x is determined using the equation:
[0064] 
[0065] with p and q > 0, and wherein
p = 0.105277 and
q = 0.55, which is graphically illustrated in Figure 5. Again, the values of the constants
p and
q are selected based on the specific QAM decoder hardware by analyzing data sampled
with know signal impairments.
[0066] The lowest M of N post-FEC BER estimates are averaged at 35, and deinterleaved post-FEC
BER estimates are averaged at 36. The average post-FEC BER is forwarded to the scoring
subsystem 3 or combined with the post-FEC BER provided by the I-Q corner analyzer
41, as hereinafter described.
[0067] FEC divides the data stream into fixed-length blocks and adds redundant data to each
block in order to correct a small number of errors occurring in the transmission of
the block. A noise burst often corrupts more consecutive QAM symbols than can be corrected
in a single block. In order to protect the data from corruption by long noise bursts,
the sender interleaves data from several blocks prior to transmitting the data. The
receiver deinterleaves the data to restore the original order within the FEC blocks.
Interleaving increases the burst protection capacity by multiplying the number of
correctable symbols of one FEC block by the number of blocks being interleaved. The
burst correction time can be computed from the symbol rate and the number of consecutive
symbols that can be corrected. Interleaving does not increase the overall ratio of
correctable symbols to total symbols contained within a block. As a result, interleaving
to correct longer noise bursts requires that the minimum time between noise bursts
also be increased. The minimum time between noise bursts is called the interleaver
latency time, and can be computed from the symbol rate and the total length of all
FEC blocks being interleaved. The symbols may be the same, but often the FEC symbol
is 7 bits long and the QAM symbol is 6 or 8 bits long. The data is grouped into FEC
symbols, then interleaved, then regrouped into QAM symbols.
[0068] The post-FEC BER model simulates the effects of interleaving by keeping a rolling
history of the values from the pre to post-FEC BER block 34. Whenever block 35 receives
a new value, the oldest value is discarded. During an initialization phase of the
averaging step 35 of the SNR analyzer 30, values are merely accumulated; however,
once N values are received, a new value is output for each new value input. The output
values consist of the average of the lowest M values of the N values stored in the
rolling history. Accordingly, the burst protection effects of interleaving are approximated,
when used in conjunction with FEC. The values M and N are selected to approximate
the burst correction capacity and latency times of the interleaver being used. M is
the sample burst correction time divided by the sample period, and N is the interleaver
latency time divided by the sample period.
[0069] Averaging step, illustrated by blocks 33 and 36 are conducted at a very high speed,
e.g. once every 5 to 50 (or 10 to 25) microseconds, over a longer measurement interval,
e.g. 0.5 to 2 seconds or more, ideally 1 second. Accordingly, overall average post
and pre-FEC BER values are obtained by averaging the BER values for additive white
Gaussian noise (AWGN), which provides a fairly accurate approximation for real-world
impairments, especially impulse noise.
[0070] With reference to Figure 6 and 7, the BER calculator 21 preferably includes an I-Q
corner analyzer 41 providing an additional means to determine the pre-FEC and the
post-FEC BER values, which are combined with the aforementioned means based on the
V
ERR to obtain more accurate pre-FEC and post-FEC BER values.
[0071] A constellation cell selector 42 of the I-Q Corner Analyzer 41 receives 10 bit I
and Q signal samples once every 5 to 50 (or 10 to 25) microseconds (ideally faster
dependent on sampling hardware) from the QAM demodulator 12 via signal decoder 14,
identifies the grid square to which each sample belongs, and then transmits the grid
square to the corner detector 43, and to the middle detector 44, which identify the
samples that belong to the corner and middle regions, respectively. Examples of corner
and middle squares in 64, 128 and 256 QAM constellation diagrams are illustrated in
Figure 8. The middle squares comprise the 10% to 20% of the squares closest to the
middle of the constellation diagram, as measured using the Euclidean distance from
the center of the square to the middle of the constellation diagram i.e. 2 to 3 squares
in each direction from the center, while the corner squares are the 4% to 8% of the
squares farthest from the middle of the constellation diagram, e.g. the extreme corner
squares of the constellation diagram and/or those squares adjacent thereto.
[0072] An error vector is calculated utilizing the 10 bit I and Q signal samples from the
QAM demodulator 12 by an error vector calculator 45. An error metric is determined
at 46 utilizing horizontal and vertical components of the error vector, according
to the equation:
[0073] 
[0074] where
E is the error magnitude and
x and
y are the horizontal and vertical components of the error vector. The error metric
is computed for all grid squares in the corner and middle regions of the constellation
diagram 15, as illustrated in Figure 8. Separate averages of the error metric are
computed for the corner region and the middle region at 47 and 48, respectively, utilizing
the error metric, every 0.5 to 2 seconds, i.e. every time a new DQI value is calculated.
After averaging at 47 and 48, the average value is divided by a scale factor based
on the modulation, e.g. 16 for 256 QAM, 81 for 128 QAM, and 256 for 64 QAM, to normalize
the error magnitude. The aforementioned scale factors assume that I and Q have 10-bit
resolution, which is a hardware dependency.
[0075] A pre-FEC BER prior to the forward error correction (FEC) is determined at 49 in
accordance with a predetermined statistical relationship between the corner average
error metric and pre-FEC BER. In a preferred embodiment, the corner pre-FEC BER model
is a simple power function:
[0076] 
[0077] where
x is the corner average error metric,
p is the pre-FEC BER estimate,
a = 2.92567E-19, and
b = 3.14057. The values of the constants
a and
b are selected based on the specific QAM decoder hardware by analyzing data sampled
with know signal impairments.
[0078] A post-FEC BER prior to the forward error correction (FEC) is determined at 50 in
accordance with a predetermined statistical relationship between the pre-FEC BER and
the post-FEC BER. Preferably, the pre- to post-FEC BER model is given by the equation
[0079] 
[0080] where
p is the pre-FEC BER estimate,
q is the post-FEC BER estimate,
k = - 0.105277,
m = 12.5893, and
r = 0.55. The values of the constants
p, q, m and
k are selected based on the specific QAM decoder hardware by analyzing data sampled
with know signal impairments.
[0081] A corner weight calculator 51 calculates a corner weight, which is preferably given
by the equations
[0082]

[0083] where
w is the corner weight,
c is the corner average error metric, and
m is the middle average error metric. The constants include maximum corner weight
wmax = 0.1, middle offset
km = 2100, and corner threshold
kc = 1.75.
[0084] With reference to Figure 6, the BER estimates from the combined SNR (or V
ERR) and corner models for the pre-BER estimates are computed in the SNR-corner combiner
61 using the equation:
[0085] 
[0086] where
s is the SNR model BER,
c is the corner model BER, and
w is the corner weight. Similarly, the BER estimates from the combined SNR and corner
models for the post-BER estimates are computed in the SNR-corner combiner 62 using
the same equation.
[0087] The scoring subsystem 3 receives the pre-FEC BER and the post-FEC BER estimates from
the BER calculator 21, and provides them to a DQI logic measurement system 71 to determine
the DQI on a predetermined scale, e.g. 1 to 5 or 0 to 10. Exemplary algorithms for
the logic measurement system 71 are illustrated in Figures 9a and 9b.
[0088] With reference to Figure 9a, an initial logic box 81 determines whether the post-FEC
BER is equal to or greater than a post minimum threshold, e.g. 1 x e
-8. If so, then a second logic box 82 determines whether the post-FEC BER is equal to
or greater than a post maximum threshold, e.g. 1 x e
-4. If so, then the DQI score is determined to be the lowest rating, e.g. zero, on a
predetermined scale, e.g. zero to ten. If not, i.e. the post-FEC BER is between the
post minimum and the post maximum thresholds, then the DQI score varies, e.g. logarithmically,
between the lowest rating, e.g. 0 and a middle rating, e.g. 5, and can determined
by the equation:
[0089] 
[0090] If the post-FEC BER is not equal to or greater than, i.e. is less than, the post
minimum threshold, e.g. 1 x e
-8, then a third logic box 83 determines whether pre-FEC BER is equal to or greater
than an prior maximum threshold, e.g. 1 x e
-4. If so, i.e. the post-FEC BER is less than the post minimum threshold, but the pre-FEC
BER is greater than the prior maximum threshold, then the DQI score is the middle
rating on the predetermined scale, e.g. 5.0. If not, then a fourth logic box 84 determines
whether the pre-FEC BER is equal to or greater than an prior minimum threshold, e.g.
1 x e
-8. If not, i.e. the pre-FEC BER is less than the prior minimum threshold and the post-FEC
BER is less than the post minimum threshold, then the DQI score is a highest rating
on the predetermined scale, e.g. 10.0, but if so, i.e. the post-FEC BER is less than
the post minimum threshold, but the pre-FEC BER is between the prior minimum and prior
maximum thresholds, then the DQI score varies, e.g. logarithmically, between the middle
rating, e.g. 5 and the highest rating, e.g. 10, and is determined by the equation:
[0091] 
[0092] In an alternate embodiment illustrated in Figure 9b, the fourth logic box 84 is replaced
by a modified fourth logic box 84', which determines whether the pre-FEC BER is equal
to or greater than a different prior minimum threshold, 1 x e
-9. Moreover, if the post-FEC BER is less than the post minimum threshold, but the pre-FEC
BER is between the post minimum and post maximum thresholds, then the DQI score varies,
i.e. logarithmically, between the middle and highest ratings, e.g. 5 and 10, and is
determined by the equation:
[0093] 
[0094] In a simplified embodiment, illustrated in Figure 10, the first logic box 81 is the
same as above, but the second logic box 82 is replaced by a modified second logic
box 82', which determines whether the post-FEC BER is also equal to or greater than
a revised post maximum threshold, e.g. 1 x e
-6. If so, then the DQI score is the lowest rating, i.e. 1, if not, i.e. the post-FEC
BER is between the post minimum and maximum thresholds, then the DQI score is between
the lowest and middle ratings, i.e. 2. The third logic box 83 is also replaced by
a modified third logic box 83', which determines whether the pre-FEC BER is equal
to or greater than a revised prior maximum threshold, e.g. 1 x e
-6. If so, i.e. the post-FEC BER is less than the post minimum threshold, but the pre-FEC
BER is greater than the prior maximum threshold, then the DQI score is the middle
rating, i.e. 3, if not then the original logic box 84 is considered; however, if the
pre-FEC BER is also equal to or greater than the prior minimum threshold, e.g. 1 x
e
-8, then the DQI score is between the middle and highest ratings, i.e. 4, and if not,
i.e. the post-FEC BER is less than the post minimum threshold and the pre-FEC BER
is less that the prior minimum threshold, then the DQI score is the highest rating,
i.e. 5.
[0095] In the scoring subsystem 3 BER averages are read from the measurement subsystem 2
and scored at a rate of 1 to 2 updates per second. Figure 11 illustrates the general
relationship between pre-FEC BER, post-FEC BER and the DQI score, i.e. if there is
no post-FEC BER and no significant pre-FEC BER, then the DQI score would be approximately
the highest rating, e.g. 10. As the pre-FEC BER increases, while the post-FEC BER
remains consistently low, the DQI score ranges from near the highest to the middle
rating, e.g. 9 down to 5. As the amount of post-FEC BER also increases, the DQI score
decreases from the middle rating down to the lowest rating, e.g. 5 to 0, at which
point, significant amounts of both pre-FEC BER and post-FEC BER are found.
[0096] With reference to Figure 12, an enhanced DQI system 91 enables a DQI receiver and
measurement system 92 to evaluate certain adverse network conditions that do not impair
the QAM receiver 92, but could adversely affect consumer-grade receivers. Typically,
these adverse network conditions do not affect the pre- and post-BER values coming
from the receiver and measurement subsystem 92; however, the scoring subsystem 93
can be enhanced in order to use the information provided by the enhancements.
[0097] The signal level of the digital channel being tested may fluctuate when amplifiers
in the network experience problems with their automatic gain control (AGC) circuitry.
The degree of signal impairment varies with the amount and rate of the fluctuations.
The signal level may also vary at a rate corresponding to the frequency of the AC
power supply driving an amplifier, or in some cases, twice the AC power supply frequency.
These variations, commonly called hum, may also introduce impairments in consumer-grade
digital receivers.
[0098] The DQI scoring subsystem 93 estimates the effects of amplitude fluctuation caused
by the AGC circuitry or hum and the effects of linear distortions by quantifying the
degree to which each impairment is present, and adjusts, e.g. reduces, the overall
DQI score by weighting factors or other means of combining the results. With these
enhancements, the scoring subsystem 93 outputs individual scores for each type of
impairment as well as a composite score representing overall quality.
[0099] In the enhanced receiver and measurement subsystem 92, the QAM demodulator 12 (see
Fig 2) includes an adaptive equalizer component that reduces the effects of micro-reflections,
group delay variations, frequency response variations, and other linear distortions
of the received QAM digital signal. The adaptive equalizer contains a number of feed-forward
equalization (FFE) and decision feedback equalization (DFE) taps. Each tap has an
associated complex coefficient value. The demodulator 12 continually adjusts the tap
values using the error information provided by each symbol decode. A typical receiver
has 16 FFE and 24 DFE taps.
[0100] The receiver and measurement subsystem 92 periodically captures and outputs the instantaneous
values of the tap coefficients. The tap values are updated at the same rate as the
receiver and measurement subsystem 92 provides pre- and post-FEC BER values to the
scoring subsystem 93.
[0101] A typical decoder chip in the equalizer enables the tap values to be read one at
a time. The measurement subsystem 92 captures a complete set of the tap coefficient
values representing the overall equalizer state at a point in time, by first: stopping
the automatic updating of the tap values; and then by reading the values from the
decoder chip sequentially. After all values are read, normal updating of the equalizer
continues.
[0102] One advantage of DQI over other digital measurements is its ability to show impairments
as a slight lowering of the DQI score, which would otherwise be too small to show
up in a pre-FEC BER test or disrupt subscriber services. In particular, the DQI score
is lowered by equalizer tap values with magnitudes that are within range, but are
close to thresholds at which the equalizer would be unable to adapt.
[0103] For yet another enhancement, the receiver and measurement subsystem 92 performs signal
level measurements in order to report conditions that can adversely affect the performance
of consumer-grade digital receivers, but do not affect the receiver used in the DQI
device 91. In order to measure signal level fluctuations, the measurement subsystem
92 determines the signal level several times during a display update period. The measurement
rate must be at least four times the AC power supply frequency in order to detect
and quantify hum. The signal level measurement may use any of the following means:
[0104] a) The measurement subsystem 92 reads the instantaneous gain setting of an AGC system
found in the QAM decoder chip therein to determine the signal level. A lower gain
indicates a higher received signal level.
[0105] b) One of the FFE taps of the adaptive equalizer is configured to be the main tap,
with an imaginary value fixed at zero, whereby the mechanism used to update the tap
values is adapted, so that the real value of the main tap represents the received
signal level. A lower tap value indicates a higher received signal level.
[0106] c) Additional circuitry is included in the measurement subsystem 92 to measure the
received signal level without disrupting the QAM decoder.
[0107] If the level measurements are performed at a fast enough rate to measure hum, the
measurement subsystem 92 outputs separate values for signal level stability and for
hum. In order to differentiate between them, the measurement subsystem 92 may use
either filtering or a Fourier transform to identify fluctuations occurring at the
AC power supply frequency or a multiple thereof.
[0108] The cable network carries additional channels with the channel under test, e.g. both
analog and digital TV channels, and an ideal QAM receiver will block the additional
channels, otherwise the other channels will produce inter-modulation distortions within
the receiver circuitry. The amount of distortion depends on the relative level of
the signal under test compared to the power levels of other signals present. If the
receiver can attenuate all incoming signals in order to bring the level of the measured
channel down to an acceptable level, inter-modulation distortion will be reduced.
[0109] The measurement system 92 may use any of the following methods alone or in combinations
to determine the relative level of the digital channel under test:
[0110] i) tune to each channel, measure the power, and sum the results to compute the total
integrated power.
[0111] ii) measure the levels of the analog TV channels present and use the highest level
as a reference. Channels at lower frequencies generally have higher levels, so only
those analog TV channels up to a cutoff frequency are measured.
[0112] ii) determine a tilt line based on the levels of the analog TV channels, and measure
the difference in level between the digital channel under test and the height of the
tilt line at the center frequency of the digital channel.
[0113] If a separate tuner is used to measure the additional channels, the measurement subsystem
92 can update the reference level periodically. If the additional channels are measured
using the same tuner 11 that the QAM receiver and measurement subsystem 92 uses, the
measurement subsystem 92 takes an initial reading of the additional channels before
tuning to the digital channel and commencing periodic DQI measurements. DQI updates
are then suspended, and the measurements of the additional channels are repeated,
if the level of the measured channel changes significantly. DQI updates may also suspend,
while the additional channels are measured at some predetermined calibration interval.
[0114] Pre-FEC BER values are being updated every 5 to 50 (or 10 to 25) microseconds. In
addition to averaging these values every 0.5 to 2 seconds, specific frequency components
can be observed by performing a Fourier transform or by using filters.
[0115] Separate outputs can be used to measure degradation caused by two specific impairments:
a component occurring at the AC power supply frequency or a multiple of it can be
used to indicate the presence of hum; if the sampling rate is made fast enough, e.g.
30 microseconds or less, a frequency component of 15.75 kHz can be used to indicate
the presence of composite second order (CSO) or composite triple beat (CTB) impairments.
[0116] The analysis subsystem 4 identifies times of low signal quality by time of occurrence,
duration and severity. Low scores occurring within a short time period can be combined
into a single impairment incident, and a weighted average can be used to represent
the single impairment incident. A concise summary of significant results, e.g. high
DQI score, low DQI score, average DQI score, weighted average DQI score, can be determined
by the analysis subsystem 4 , when DQI measurements are acquired over a long time
period.
[0117] With the aforementioned enhancements, the SNR-corner combiners may be moved from
the measurement subsystem 92 to the scoring subsystem 93, which enables the scoring
subsystem 93 to output separate scores from each model or analyzer, as well as include
their effects in the composite score. Separate scores can be output for specific impairment
types:
DQI Component Score |
Supporting Measurement |
Thermal noise |
SNR analyzer, continuously low values |
Impulse noise |
SNR analyzer, occasional low values |
CSO and CTB |
SNR analyzer, 15.75 kHz frequency component |
Phase noise |
I-Q Corner model |
Hum |
Level fluctuations at multiples of the AC power supply frequency; |
|
SNR analyzer, components at these frequencies. |
Signal level instability |
Other level fluctuations, such as caused by amplifier AGC problems |
Linear distortions |
Equalizer tap values |
Intermodulation |
Digital channel level too low relative to the reference level |
[0118] With the enhancements, the scoring subsystem 92 may model the performance of consumer-grade
QAM receivers, and use a single model, or different parameters to model the effects
of specific types or makes of receivers. The parameters that could vary with the receiver
type may include but are not limited to the following:
[0119] 1) The amount of variation in the input signal level that is acceptable. 2) The rate
of change of the input signal level that is acceptable. 3) The percent hum that is
acceptable. 4) The number of FFE and DFE taps being used in the adaptive equalizer.
5) The equalizer adaptation algorithms and parameters. 6) The sensitivity of the receiver
to inter-modulation distortions. 7) The AGC bandwidth. 8) The derotator bandwidth.
9) The characteristics of any bandpass or notch filter components that may be present.
[0120] The analysis subsystem 94 can track specific types of impairments using the component
DQI scores, i.e. log the time of occurrence of impairments by impairment type as well
as by severity and duration.
[0121] In the display subsystem 5, the DQI signal quality scores are reported numerically
at readout 91, e.g. updated every 0.5 to 2 seconds, and graphically over time at display
readout 92. If a specific impairment exists in the network under test, the graphical
display 92 will capture a signature of the impairment. However less than 0.5 seconds
and greater than 2 seconds is also possible if faster hardware is available or a slower
transition is desirable. The lowest and highest DQI scores can also be displayed for
a test run over a desired time period. A marker can be included in the display subsystem
95, whereby the individual component scores at the marker position can be displayed
numerically. Alternatively, the impairment type receiving the lowest component score
can be displayed textually. The marker can be moved a single point at a time with
individual inputs, e.g. touch pad or keyboard 26, or it can be made to jump from one
low point in the history to another. The display subsystems 5 and 95 can also show
the status and results of other measurements occurring concurrently, e.g. signal level,
MER, QAM lock status, and Interleaver depth. A written indication of how the system
performed, e.g. pass/fail, excellent/good/fair/poor/no-signal, no-impairments/slight/moderate/severe,
can also be displayed. The impairment incidents can be listed in order of occurrence
or severity, along with their time and duration.
[0122] The DQI system provides more measurable data points than conventional BER systems,
and responds faster to changing conditions. Impairments are reported before bit errors
actually occur, without having to fully decode the incoming signals.
1. A method of determining an indication of the quality on a QAM digital signal on a
cable network with forward error correction comprising the steps of:
a) determining a first bit error rate (BER) of the digital signal prior to forward
error correction (FEC);
b) determining a second bit error rate after forward error correction (FEC);
c) determining a digital quality index (DQI) on a predetermined scale based on the
first and second bit error rates; and
d) displaying the DQI to provide an indication of the quality of the QAM digital signal
on the cable network.
2. The method according to claim 1, wherein step a) comprises:
determining an error voltage VERR of the digital signal; and
determining the first bit error rate based on a predetermined statistical relationship
between the VERR and the first BER.
3. The method according to claim 2, wherein the first bit error rate f(x) is computed
from a scaled V
ERR value
x using a modified exponential equation

wherein a>0, b>0 and 0<c<1 and based on decoding hardware.
4. The method according to claim 2, wherein step b) comprises determining the second
bit error rate based on a predetermined statistical relationship between the first
BER and the second BER
5. The method according to claim 4, wherein the second BER g(x) is computed from the
first BER
x using the equation

wherein p and q >0, and based on decoding hardware.
6. The method according to claim 4, wherein the FEC includes interleaving bits in the
digital signal utilizing an interleaver;
wherein M equals a sample burst correction time divided by a sample period, and N
equals interleaver latency time divided by the sample period; and
wherein step b) includes taking an average of a lowest M values of a most recent N
values of the second BER;
whereby burst protection effects of interleaving are approximated.
7. The method according to claim 2, wherein step a) also comprises:
determining a corner average error metric of the digital signal; and
determining the first bit error rate based on a predetermined statistical relationship
between the corner average error metric and the first BER.
8. The method according to claim 7, wherein p(x) = axb
wherein x is the corner average error metric, p is the pre-FEC BER estimate, and a and b are based on decoding hardware.
9. The method according to claim 4, wherein the second BER is also determined based on
a predetermined statistical relationship between the first BER and the second BER;
wherein

wherein
p is the first BER estimate,
q is the second BER estimate, and
k, m, and
r are based on decoding hardware.
10. The method according to claim 1, wherein step c) includes:
i) determining whether the post-FEC BER is equal to or greater than a post minimum
threshold;
if the post-FEC BER is equal to or greater than a post minimum threshold, then determining
whether the post-FEC BER is equal to or greater than a post maximum threshold, whereby
if so, then the DQI score is determined to be a lowest rating on the predetermined
scale;
if the post-FEC BER is not equal to or greater than the post maximum threshold, then
determining whether the post-FEC BER is between the post minimum and post maximum
thresholds, whereby if so, then the DQI score varies between the minimum rating and
a middle rating; and
ii) if the post-FEC BER is not equal to or greater than a post minimum threshold:
determining whether pre-FEC BER is equal to or greater than an prior maximum threshold,
whereby if so then the DQI score is the middle rating on the predetermined scale;
if the pre-FEC BER is not equal to or greater than an prior maximum thershold, then
determining whether the pre-FEC BER is between the prior minimum and prior maximum
thresholds, whereby if so then the DQI score varies between the middle rating and
the maximum rating on the predetermined scale; whereby if the pre-FEC BER is less
than an prior minimum threshold, then the DQI score is a highest rating on the predetermined
scale.
11. The method according to claim 10, wherein the post minimum threshold is approximately
1 x e-8, and the post maximum threshold is approximately 1 x e-4, whereby if the post-FEC BER is between the post minimum and post maximum thresholds
the DQI score equals int(-12.5 log(second BER)-50)/10; and
wherein the prior maximum value is approximately 1 x e-4, and the prior minimum value is approximately 1 x e-8, whereby if the pre-FEC BER is between the prior minimum and prior maximum values,
the DQI score is int(-12.5 log(first BER)/10.
12. The method according to claim 10, wherein the post minimum threshold is approximately
1 x e-8, and the post maximum threshold is approximately 1 x e-4, whereby if the post-FEC BER is between the post minimum and post maximum thresholds
the DQI score equals int(-12.5 log(second BER)-50)/10; and
wherein the prior maximum value is approximately 1 x e-4, and the prior minimum value is approximately 1 x e-9, whereby if the pre-FEC BER is between the prior minimum and prior maximum values,
the DQI score is int(-10 log(first BER) +10)/10.
13. The method according to claim 10, wherein the post minimum threshold is approximately
1 x e-8, and the post maximum threshold is approximately 1 x e-6, whereby if the post-FEC BER is between the post minimum and post maximum thresholds
the DQI score is between the lowest and middle ratings; and
wherein the prior maximum value is approximately 1 x e-6, and the prior minimum value is approximately 1 x e-8, whereby if the pre-FEC BER is between the prior minimum and prior maximum values,
the DQI score is between the middle and highest ratings.
14. The method according to claim 1, wherein step d) includes displaying a plurality of
DQI over time on a graph.
15. A testing device for generating an indication of the quality on a QAM digital signal
on a cable network with forward error correction (FEC) comprising:
an input port for receiving the QAM digital signal;
first bit error rate (BER) generating means for determining the BER of the QAM digital
signal prior to FEC;
second first bit error rate (BER) generating means for determining the BER of the
QAM digital signal after FEC;
digital quality index generating means for determining a digital quality index (DQI)
of the QAM digital signal on a predetermined scale based on the first and second BER;
and
a display for displaying the DQI to provide an indication of the quality of the QAM
digital signal on the cable network.
16. The testing device according to claim 15, wherein the first BER generating means includes
a voltage error (VERR) generator, and first logic means for determining the first bit error rate based
on a predetermined statistical relationship between the VERR and the first BER.
17. The testing device according to claim 16, wherein the first BER f(x) is computed from
a scaled V
ERR value
x using a modified exponential equation

wherein a>0, b>0 and 0<c<1 and based on first bit error rate generating means.
18. The testing device according to claim 16, wherein the second BER generating means
includes second logic means for determining the second bit error rate based on a predetermined
statistical relationship between the first BER and the second BER.
19. The testing device according to claim 18, wherein the second BER g(x) is computed
from the first BER
x using the equation

wherein p and q >0, and based on the first BER generating means.
20. The testing device according to claim 16, wherein the first BER generating means also
includes a corner average metric generating means for determining a corner average
error metric of the digital signal; and
wherein the digital quality index generating means determines the first bit error
rate based also on a predetermined statistical relationship between the corner average
error metric and the first BER.
21. The testing device according to claim 18, wherein the FEC includes interleaving bits
in the digital signal utilizing an interleaver;
wherein the second BER generating means includes taking an average of a lowest M values
of a most recent N values of the second BER;
wherein M equals a sample burst correction time divided by a sample period, and N
equals interleaver latency time divided by the sample period;
whereby burst protection effects of interleaving are approximated.
22. The testing device according to claim 15, further comprising signal level measuring
means for measuring a power level of the QAM digital signal, whereby the digital quality
index generating means adjusts the DQI based on the measured signal level.
23. The testing device according to claim 16, wherein the voltage error (VERR) generator comprises a QAM demodulator, which includes an equalizer containing a
plurality of feed-forward equalization (FFE) and decision feedback equalization (DFE)
taps indicative of impairments to the network; whereby the digital quality index generating
means adjusts the DQI based on the plurality of feed-forward equalization (FFE) and
decision feedback equalization (DFE) taps.
24. A method of determining a bit error rate of a QAM digital signal on a cable network
with forward error correction (FEC) comprising the steps of :
a) determining an error voltage VERR of the digital signal once every 5 to 50 microseconds;
b) determining a first bit error rate prior to FEC based on a predetermined statistical
relationship between the VERR and the first BER once every 5 to 50 microseconds; and
c) averaging the first BER every 0.5 to 2 seconds.
25. The method according to claim 2, further comprising determining the second bit error
rate after FEC based on a predetermined statistical relationship between the first
BER and the second BER;
wherein the FEC includes interleaving bits in the digital signal utilizing an interleaver;
wherein M equals a sample burst correction time divided by a sample period, and N
equals interleaver latency time divided by the sample period; and
wherein step b) includes taking an average of a lowest M values of a most recent N
values of the second BER;
whereby burst protection effects of interleaving are approximated.